TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.13.4.093
TI  - Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
PY  - 2022/10/12
UR  - https://www.scipost.org/SciPostPhys.13.4.093
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 13
IS  - 4
SP  - 093
A1  - Qiao, Jiaxin
AB  - We analyze the convergence properties of operator product expansions (OPE) for Lorentzian CFT four-point functions of scalar operators. We give a complete classification of Lorentzian four-point configurations. All configurations in each class have the same OPE convergence properties in s-, t- and u-channels. We give tables including the information of OPE convergence for all classes. Our work justifies that in a subset of the configuration space, Lorentzian CFT four-point functions are genuine analytic functions. Our results are valid for unitary CFTs in $d\geq2$. Our work also provides some Lorentzian regions where one can do bootstrap analysis in the sense of functions.
ER  -

@Article{10.21468/SciPostPhys.13.4.093,
	title={{Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions}},
	author={Jiaxin Qiao},
	journal={SciPost Phys.},
	volume={13},
	pages={093},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.13.4.093},
	url={https://scipost.org/10.21468/SciPostPhys.13.4.093},
}